[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Problems of Size Effect in Similar Experimental Models: A Review

Journal of Vcibration Testing and System Dynamics 3(3) (2019) 329--346 | DOI:10.5890/JVTSD.2019.09.006

Si-wei Guo$^{1}$,$^{2}$, Zhong Luo$^{1}$,$^{2}$, Qing-wen Yu$^{1}$,$^{2}$, FeiWang$^{1}$,$^{2}$

$^{1}$ School of Mechanical Engineering & Automation, Northeastern University, Shenyang, China

$^{2}$ Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China, Northeastern University, Shenyang, Liaoning, China

Download Full Text PDF

 

Abstract

This paper is concerned with a review of the size effect involved in the similar experimental models. The review covers in many fields, including size effect in microscopic system structure such as the study of the micro-beam mode, civil structure and mechanical structure such as the study of mechanical properties, the application of dynamic similarity model design in large structures. This is followed by the influencing factors of size effect and methods of predicting fatigue strength and fatigue life of large structures. Analysis of formulas for predicting the stress and strain, stress field near notched specimens used in large structures are established. Finally, the formulas for predicting the size factor and fatigue life of large structures about size effect are summarized and prospected.

Acknowledgments

This work was supported by the National Science Foundation of China [grant number 11872148, 11572082]; the Fundamental Research Funds for the Central Universities of China [grant numbers N170308028, N160312001]; and the Excellent Talents Support Program in Institutions of Higher Learning in Liaoning Province of China [grant number LJQ2015038].

References

  1. [1]  Bažant, Z.P. (1999), Size effect on structural strength: a review, Archive of Applied Mechanics, 69(9-10), 703-725.
  2. [2]  Bažant, Z.P. (2000), Size effect, International Journal of Solids and Structures, 37(1-2), 69-80.
  3. [3]  Serry, F.M., Walliser, D., and Maclay, G.J. (1995), The anharmonic Casimir oscillator (ACO)-the Casimir effect in a model microelectromechanical system, Journal of Microelectromechanical Systems, 4(4), 193-205.
  4. [4]  Namazu, T., Isono, Y., and Tanaka, T. (2002), Plastic deformation of nanometric single crystal silicon wire in AFM bending test at intermediate temperatures, Journal of Microelectromechanical Systems, 11(2), 125-135.
  5. [5]  Ding, J., Meng, Y., and Wen, S. (2001), Specimen size effect of fracture failure strength of polysilicon microcantilever beams, China Mechanical Engineering, 12(11), 1228-1231.
  6. [6]  Ding, J. and Meng, Y. (2001), Study on strength size effect of polycrystalline silicon microelectromechanical components, Mechanical Strength, 23(4), 385-388.
  7. [7]  Imam, M., Vandewalle, L., and Mortelmans, F. (1995), Are current concerete strength tests suitable for high strength concrete? Materials & Structures, 28(7), 384-391.
  8. [8]  Makhutov, N.A. and Reznikov, D.O. (2017), Ranges of the validity of power scaling laws in the description of scale effects of the strength of extended elements of machines and structures, Journal of Machinery Manufacture and Reliability, 46(2), 132-141.
  9. [9]  Chi-Cong, V., J´erˆome, W., Olivier, P., et al. (2018), Revisiting statistical size effects on compressive failure of heterogeneous materials, with a special focus on concrete, Journal of the Mechanics and Physics of Solids, 121, 47-70.
  10. [10]  Cao, H., Zhang, X., and Chen, X. (2016), The concept and progress of intelligent spindles: A review, International Journal of Machine Tools & Manufacture, 112, 21-52.
  11. [11]  Stauss, S., Schwaller, P., Bucaille, J.L., et al. (2003), Determining the stress–strain behaviour of small devices by nanoindentation in combination with inverse methods, Microelectronic Engineering, 67(1), 818-825.
  12. [12]  Luo, Z., Zhu, Y., Han, Q., et al. (2016), Review and prospect for dynamic similitude theory and its applications in the structure vibration, Journal of Mechanical Engineering, 52(23), 114-134.
  13. [13]  Zhu, Y., Wang, Y., Luo, Z., et al. (2017), Similitude design for the vibration problems of plates and shells: A review, Frontiers of Mechanical Engineering, 12(2), 253-264.
  14. [14]  Luo, Z., Zhu, Y., Chen, X., et al. (2014), Study of the Structure Size Interval of Similar Test Model of the Laminated Composite Plate, Journal of Mechanical Engineering, 50(9), 58-64.
  15. [15]  Luo, Z., Zhu, Y., Liu, H., et al. (2016), Dynamic similitude design method of the distorted model on variable thickness cantilever plates, Applied Sciences, 6(8), 228–235.
  16. [16]  Tarfaoui, M., Gning, P., Davies, P., et al. (2007), Scale and size effects on dynamic response and damage of Glass/Epoxy tubular structures, Journal of Composite Materials, 41(5), 547-558.
  17. [17]  Fleck, N.A., Muller, G.M., Ashby, M.F., et al. (1994), Strain gradient plasticity: Theory and experiment, Acta Materialia, 42(2), 475-487.
  18. [18]  Lam, D.C.C., Yang, F., Chong, A.C.M., et al. (2003), Experiments and theory in strain gradient elasticity, Journal of the Mechanics & Physics of Solids, 51(8): 1477-1508.
  19. [19]  Kang, X. and Xi, Z. (2007), Size effect on the dynamic characteristic of a micro-beam based on cosserat theory, Journal of Mechanical Strength, 29(1), 1-4.
  20. [20]  Xie, X., Liu, Z., and Du, Q. (2018), Size effect of natural frequency and mode of cantilever micro-beam, Journal of Vibration and Shock, 37(12), 187-192.
  21. [21]  Sim, J.I., Yang, K.H., and Jeon, J.K. (2013), Influence of aggregate size on the compressive size effect according to different concrete types, Construction and Building Materials, 44, 716-725.
  22. [22]  Chen, G. (2007), Mesoscopic numerical simulation of mechanical properties of lightweight aggregate concrete, Dalian: Dalian University of Technology, (in Chinese).
  23. [23]  Viso, J.R.D, Carmona, J.R., and Ruiz, G. (2008), Shape and size effects on the compressive strength of high-strength concrete, Cement & Concrete Research, 38(3), 386-395.
  24. [24]  Buzzi, O. and Casagrande, D. (2018), A step towards the end of the scale effect conundrum when predicting the shear strength of large in situ discontinuities, International Journal of Rock Mechanics & Mining Sciences, 105, 210-219.
  25. [25]  Yan, X., Jun, L., Yi, J., et al. (2018), Research on lateral scale effect and constitutive model of rock damage energy evolution, Geotechnical and Geological Engineering, 36, 2415-2424.
  26. [26]  Chindaprasirt, P., Hatanaka, S., Mishima, N., et al. (2009), Effects of binder strength and aggregate size on the compressive strength and void ratio of porous concrete, International Journal of Minerals Metallurgy & Materials, 16(6), 714-719.
  27. [27]  Jiang, C., Wu, Y., and Jiang, J. (2017), Effect of aggregate size on stress-strain behavior of concrete confined by fiber composites, Composite Structures, 168: 851-862.
  28. [28]  Yuan, H., Chen, J., Krompholz, K., et al. (2003), Investigations of size effects in tensile tests based on a nonlocal micro-mechanical damage model, Computational Materials Science, 26(8), 230-243.
  29. [29]  Zhou, J., Xu, H., Wand, J., et al. (2006), Thin plate welding residual stress size effect, Journal of Welding, 27(3), 96-100
  30. [30]  Ma, H., Pang, X., Feng, R., et al. (2015), Fault features analysis of cracked gear considering the effects of the extended tooth contact[J], Engineering Failure Analysis, 48, 105-120.
  31. [31]  Zhang, S., Gong, X., Li, J., et al. (2016), Experimental investigation into mechanical properties of copper sheet with size effects, Journal of Hunan University of Science and Technology, 44(10), 8-14.
  32. [32]  Liu, Z., Yue, Z., Zhi, X., et al. (2013), Influence of dimension variation on strength and fatigue life of single crystal cooled blade, Rare Metal Materials and Engineering, 42(8), 1563-1567.
  33. [33]  Chu, Y., Ragab, T., and Basaran, C. (2014), The size effect in mechanical properties of finite-sized graphene nanoribbon, Computational Materials Science, 81, 269-274.
  34. [34]  Dong, S. and Ma, Q. (2014), Thermal elastohydrodynamic calculaytion and size effect of large heavy thrust bearing, Lubrication and sealing, 39(8), 108-111.
  35. [35]  Cui, L.L., Wang, X., Xu, Y.G., et al. (2019), A novel Switching Unscented Kalman Filter method for remaining useful life prediction of rolling bearing, Measurement, 135, 678–684
  36. [36]  Liu, Y., Wang, H., Wang, J., et al. (2015), Numerical study of scale effects on performance of centrifugal compressor model stage, Journal of Dalian University of Technology, 55(3), 252-260.
  37. [37]  Wen, H.M. and Jones, N. (1993), Experimental investigation of the scaling laws for metal plates struck by large masses, International Journal of Impact Engineering, 13(3), 485-505.
  38. [38]  Du B, Shi X, Zhang X, et al. Application of size effect in rock mass similar material model test. Journal of Beijing Jiaotong University of Technology, 2014, 38(6): 88-92.
  39. [39]  Huang, N., Yang, J., and Li, S. (2016), Study on fatigue life prediction for C-type frame of huge pressure machine, Forging & Stamping Technology, 41(5), 136-142.
  40. [40]  Sutherland, L.S. and Soares, C.G. (2007), Scaling of impact on low fibre-volume glass–polyester laminates, Composites Part A, 38(2), 0-317.
  41. [41]  Ramu, M., Prabhu, R.V., and Thyla, P.R. (2011), Development of structural similitude and scaling laws for elastic models, Thematic Orientation of the Journal Manufacturing Engineering, 9(3), 67–69.
  42. [42]  Ramu, M., Raja, V.P., and Thyla, P.R. (2013), Establishment of structural similitude for elastic models and validation of scaling laws, KSCE Journal of Civil Engineering, 17(1): 139-144.
  43. [43]  Wang, S., Yang, D., and Liu, N. (2007), Investigation of acoustic scale effects and boundary effects for the similitude model of underwater complex shell-structure, Journal of Marine Science and Application, 6(1), 31-35.
  44. [44]  Christian, A., Elena, M.S., and Tobias, M. (2018), Scaling laws obtained from a sensitivity analysis and applied to thin vibrating structures, Mechanical Systems and Signal Processing, 110, 590-610.
  45. [45]  Lu, S., Zhang, H., Tang, J.. et al. (2011), Analysis method for the stress fatigue probability life of a disk considering size effect, Journal of Aeronautical Power, 26(9): 2039-2043.
  46. [46]  Liang, X. (2009), Study on factors affecting fatigue strength of metal materials, Shenyang: Northeastern University, (in Chinese).
  47. [47]  Makkonen, M. (2003), Notch size effects in the fatigue limit of steel, International Journal of Fatigue, 25(1), 17-26.
  48. [48]  Bertsche, B., Schröpel, H., and Seifried, A. (2006), Statistical size effect and failure-free time in dimensioning of machine components, Journal of Engineering Design, 17(3), 259-270.
  49. [49]  Koyama, M., Li, H., Hamano, Y., anf et al. (2017), Mechanical-probabilistic evaluation of size effect of fatigue life using data obtained from single smooth specimen: An example using Fe-30Mn-4Si-2Al seismic damper alloy, Engineering Failure Analysis, 72, 34-47.
  50. [50]  Wang, H. (2014), Analysis of the influence of the size of key components of Air Compressor on fatigue life, Shenyang: Northeastern University, (in Chinese).
  51. [51]  Yang, Y., Wu, Q., Wang, Y., et al. (2019), Dynamic characteristics of cracked uncertain hollow-shaft, Mechanical Systems and Signal Processing, 124, 36-48.
  52. [52]  Clementi, F., Lenci, S., and Sadowski, T. (2008), Fracture characteristics of unfired earth, International Journal of Fracture, 149(2), 193-198.
  53. [53]  Lenci, S., Clementi, F., and Sadowski, T. (2012), Experimental determination of the fracture properties of unfired dry earth, Engineering Fracture Mechanics, 87, 62-72.
  54. [54]  Lenci, S., Piattoni, Q., Clementi, F., et al. (2011), An experimental study on damage evolution of unfired dry earth under compression, International Journal of Fracture, 172(2), 193-200.
  55. [55]  Cova, M., Nanni, M., and Tovo, R. (2014), Geometrical Size Effect in High Cycle Fatigue Strength of Heavy-walled Ductile Cast Iron GJS400: Weakest Link vs Defect-based Approach, Procedia Engineering, 74, 101-104.
  56. [56]  Yao, W. (1994), On fatigue size coefficient, Mechanical strength, 16(3), 69-71.
  57. [57]  Wang, S. and Zhang, Z. (1992), Probability fatigue strength estimation method and analysis of fatigue size effect, Mechanical strength, 14(3), 71-75.
  58. [58]  Jin, J. (2014), Study on the influence of size effect of Air Compressor Impeller on fatigue life, Shenyang: Northeastern University, (in Chinese).
  59. [59]  Huang, N. (2013), Research on fatigue life prediction method for large structural parts, Hunan: Central South University, (in Chinese).
  60. [60]  Yang, J. and Huang, N. (2016), Calculation of dimension coefficient of C Frame of giant press, Forging and Stamping Technology, 41(7), 67-71.
  61. [61]  Xi, W., Yao, W., et al. (2013), Fatigue life prediction method for notched parts considering size effect, Journal of Nanjing Aerospace University, 45(4), 497-502.
  62. [62]  Wang, Y., Li, H., Y.S. et al. (2013), Notched fatigue life prediction method considering stress gradient, Journal of Aeronautical Power, 28(6), 1208-1214.
  63. [63]  Liu, X., Wang, Y., Tian, A., et al. (2017), Notched fatigue life prediction method considering size effect, Journal of Aeronautical Power, 32(2), 429-437.

Copyright © 2011-2024 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates